What is the present value of 5,000 to be received in 3 years discounted at 10% annually?

Prepare for the PHFO Quantitative Analysis For Business Exam. Study with flashcards, multiple choice questions, hints, and explanations to ensure confidence and success in your exam!

Multiple Choice

What is the present value of 5,000 to be received in 3 years discounted at 10% annually?

Explanation:
Present value shows how much a future amount is worth today when you discount it at a given rate. Use PV = FV / (1 + i)^t. Here, FV is 5,000, i is 10% (0.10), and t is 3 years. Compute (1.10)^3 = 1.331, then PV = 5,000 / 1.331 ≈ 3,756.57, so about 3,756. This is the amount you would need today to receive 5,000 three years from now at a 10% annual return. The other numbers would come from using a different rate or a different time horizon, not from 10% over three years.

Present value shows how much a future amount is worth today when you discount it at a given rate. Use PV = FV / (1 + i)^t. Here, FV is 5,000, i is 10% (0.10), and t is 3 years. Compute (1.10)^3 = 1.331, then PV = 5,000 / 1.331 ≈ 3,756.57, so about 3,756. This is the amount you would need today to receive 5,000 three years from now at a 10% annual return. The other numbers would come from using a different rate or a different time horizon, not from 10% over three years.

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